Question 64

What is the difference of mean and median of the given data : 4, 13, 8, 15, 9, 21, 18, 23, 35, 1?

Solution

Mean:

No. of samples (n) = 10

Mean = $$\frac{\sum x}{n} = \frac{4+13+8+15+9+21+18+23+35+1}{10}= \frac{147}{10} = 14.7$$

Median:

Arranging the data in ascending order, we get:

1, 4, 8, 9, 13, 15, 18, 21, 23, 35

n = 10 (even)

Therefore, median is the average of 5th and 6th term.

Median = $$ \frac{13+15}{2} = 14$$

Mean - Median = 14.7 - 14 = 0.7

Therefore, Option A is correct.

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